A) 2.53
B) 2.72
C) 3.15
D) 2.75
Correct Answer: A
Solution :
Given: PT is tangent and OT is radius \[\angle BAC\] \[\angle ECD={{30}^{o}}\] and \[\angle BAC\], \[{{30}^{o}}\] \[{{40}^{o}}\] Consider right angled \[{{50}^{o}}\] in which \[{{60}^{o}}\] \[\angle BAD={{120}^{o}}\] \[\angle BCD\] \[{{240}^{o}}\] \[{{60}^{o}}\] We know that \[{{120}^{o}}\] ...(1) Let \[{{180}^{o}}\] \[\angle R={{138}^{o}}\] \[\angle PQS\] From (1), we have \[{{90}^{o}}\] \[{{42}^{o}}\] \[{{48}^{o}}\] \[\angle BDC={{42}^{o}}\] \[\angle ACB\] Since, length of side cannot be negative. \[{{42}^{o}}\] \[\angle ACB={{65}^{o}}\]
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